Finding the Third Proportional to 103,692 and 204,946

Step by Step Solution

1. Step 1: Write the proportion equation
   103,692 : 204,946 = 204,946 : x
2. Step 2: Convert to fraction form
   103,692/204,946 = 204,946/x
3. Step 3: Cross multiply
   103,692x = 204,946 × 204,946
4. Step 4: Simplify right side
   103,692x = 42,002,862,916
5. Step 5: Solve for x
   x = 42,002,862,916/103,692
6. Step 6: Final answer
   x = 405,073.32